Regression model

Robust ANOVA (Welch & Trimmed Mean)

Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.

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Sources

  1. Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI: 10.1093/biomet/38.3-4.330
  2. Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838

Related methods

Referenced by

ScholarGateRobust ANOVA (Robust Analysis of Variance (Welch & Trimmed Mean)). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/robust-anova